What is the volume of a cylinder with diameter of 110mm and height 24 cm
First, we need to find the radius of the cylinder:
radius (r) = diameter/2 = 110mm/2 = 55mm
Next, we need to convert the height to millimeters for consistency:
height (h) = 24cm x 10mm/cm = 240mm
The formula for the volume of a cylinder is V = πr²h, where π is approximately 3.14.
Substituting our values, we get:
V = π(55mm)²(240mm)
V = 2280960 mm³ or 2.28 liters (rounded to 2 decimal places)
To calculate the volume of a cylinder, you can use the formula:
V = π * r^2 * h
where:
V is the volume,
π (pi) is a mathematical constant approximately equal to 3.14159,
r is the radius of the base of the cylinder,
h is the height of the cylinder.
Given that the diameter of the cylinder is 110mm, we need to first find the radius. The radius is equal to half of the diameter.
So, the radius (r) = diameter/2 = 110mm/2 = 55mm.
Since the height of the cylinder is given in cm, we should convert the radius to cm as well.
Converting 55mm to cm, we divide by 10:
r = 55mm / 10 = 5.5cm.
Now, we have the radius (r) as 5.5cm and the height (h) as 24cm. We can substitute these values into the formula to find the volume (V) of the cylinder.
V = π * r^2 * h
V = 3.14159 * (5.5cm)^2 * 24cm
Calculating the squared value, we get:
V = 3.14159 * (30.25cm^2) * 24cm
Multiplying these values together, we have:
V ≈ 7204.818 cm^3
Therefore, the volume of the cylinder is approximately 7204.818 cm^3.